Strange attractors in brushless DC motors

Deals with the open-loop dynamic characteristics of smooth-air-gap brushless DC motors. The steady-state characteristics of these systems, subject to constant input voltages and constant external torques, are formulated, whereby it is shown that the presence of viscous damping friction can cause the system to possess multiple physical equilibria. Furthermore, using an affine transformation, it is shown that the open-loop dynamics of smooth-air-gap brushless DC motors and the Lorenz system, a system known to possess chaotic behavior, are equivalent. Finally, computer simulations are presented that verify the existence of strange attractors in the open-loop dynamics of brushless DC motors.<
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